Publications (2001 - ) of Kyril "Tammuz" Tintarev, Ph.D.

Last updated: May 2009

Selected papers 1982-2000

Short time asymptotics for fundamental solutions of higher order parabolic equations, Communications in Partial Differential Equations, 7 (4), (1982), 371-391.
(with Martin Schechter) Eigenvalues for semilinear boundary value problems, Archive for Rational Mechanics and Analysis, 113 (1991), 197-208.
Mountain impasse theorem and spectrum of semilinear elliptic problems,Transactions of American Mathematical Society, 336 (1993) 621-629.
(with Martin Schechter) ”Pairs of saddle points produced by linking subsetswith application to semilinear elliptic problems”, Bulletin de la Societe Mathematique de Belgique, serie B, 44 (3) (1992), 249-261.
Second eigenfunctions of nonlinear eigenvalue problems, Journal of Mathematical Analysis and Applications, 196, 361-383 (1995).
Mountain pass and impasse for non-smooth functionals with constraints, Journal of Nonlinear Analysis -Theory, Methods and Applications, 26, 798-803 (1996)

e-mail: tammouz@gmail.com
skype: kyril.tintarev
Mobile phone in India: +919740180386
Mobile phone in Israel: +972526502409
Mobile phone in Brazil: +558388075572

Full access to most published papers requires institutional subscription. Preprints are accessible.

(with Ian Schindler) An abstract version of the concentration compactness principle, Revista Matematica Complutense, 15, 1-20 (2002).
(with Ian Schindler) Semilinear subelliptic problems without compactness on Lie groups, Nonlinear Differential Equations and Applications 11 (2004), 299 - 309.
Singular semilinear elliptic equations in the half-space, Rend.Istit.Mat. Univ.Trieste 33 (2001), 1-11.
(with Karl-Heinz Fieseler) Semilinear elliptic problems and concentration compactness on non-compact Riemannian manifolds, J.Geom.Anal. 13 (2003), 67-75.
(with Marco Biroli and Ian Schindler) Semilinear problems on Hausdorff spaces with symmetries, Rend. Accad. Naz. Sci. XL Mem. Mat. Appl. (5) 27 (2003), 175–189.
(with Martin Schechter) Linking in Hilbert space, Proceedings of American Mathematical Society, 134 (2006), 403-410.
(with Karl-Heinz Fieseler) Sobolev minimizers on homogeneous spaces, Potential Analysis 23, 153-163 (2005).
(with Martin Schechter) Finding linking sets, International Journal of Mathematics and Mathematical Sciences (accepted)
Nonlinear subelliptic Schrdinger equation with external magnetic field, Electronic Journal of Differential Equations, Vol. 2004, No. 123, pp. 1-9 (2004).
(with Yehuda Pinchover) Existence of minimizers for Schroedinger operators under domain perturbations with application to Hardy’s inequality, Indiana University Mathematical Journal 54, 1061 - 1074 (2005).
A semilinear elliptic problem on unbounded domains with reverse penalty, Nonlinear Analysis 64 (2006), 1496-1502.
(with Yehuda Pinchover) A ground state alternative for singular Schrödinger operators, Journal of Functional Analysis 230 (2006), 65-77.
(with Jan Chabrowski) An elliptic Neumann problem with subcritical nonlinearity, Bulletin of the Polish Academy of Sciences - Mathematics 53 7-16 (2005).
(with Achilles Tertikas) Minimizers for Hardy-Sobolev inequalities, Annali di Matematica Pura e Applicata, (4) 186 (2007), 645--662.
(with Yehuda Pinchover) Ground state alternative for p-Laplacian with potential term, Calculus of Variations and Differential Equations 28 (2007), 179--201
Concentration-compactness principle for mountain pass problems, in Proceedings of Conference on Differential and Difference Equations, August 1-5, 2005, Melbourne, Florida, Hindawi Publishing Corporation, 2006.
Permanence of metric fractals, Proceedings of Conference in PDE in honor of Jacqueline Fleckinger, special EJDE volume (accepted)
(with Yehuda Pinchover and Achilles Tertikas) A Liouville-type theorem for the p-Laplacian with potential term. Ann. Inst. H. Poincaré Anal. Non Linèaire 25 (2008), 357-368.
(with Ian Schindler) Mountain pass solutions to semilinear problems with critical nonlinearity, Discrete Contin. Dyn. Syst. 2007, Dynamical Systems and Differential Equations. Proceedings of the 6th AIMS International Conference, suppl., ISBN: 978-1-60133-010-9; 1-60133-010-3 912--919.
Positive solutions of elliptic equations with a critical oscillatory nonlinearity, Discrete Contin. Dyn. Syst. 2007, Dynamical Systems and Differential Equations. Proceedings of the 6th AIMS International Conference, suppl., ISBN: 978-1-60133-010-9; 1-60133-010-3 974-981
(with Ian Schindler) Semilinear elliptic equations on fractal blow-ups, Journal of Mathematical Analysis and Applications 352 (2009), 57-64.
(with Peter Takac) Generalized minimizer solutions for equations with the p-Laplacian and a potential term, Proc. Royal. Soc.Edinburgh 138 A (2008), 201-221.
Permanence of metric fractals, 2006 International Conference in honor of Jacqueline Fleckinger. Electron. J. Diff. Eqns., Conference 16 (2007), pp. 185-192.
(with Yehuda Pinchover) On positive solutions of minimal growth for singular p-Laplacian with potential term, Adv. Nonlinear Stud. 8 (2008), 213-234.
On scalar field equations with critical nonlinearity, J. Fixed Point Theory Appl. 4 (2008), no. 1, 97--106.
(with Yehuda Pinchover) On Hardy-Sobolev-Maz'ya inequality, in: Maz'ya, Vladimir; Isakov, Victor (Eds.), Sobolev Spaces in Mathematics, volume 1: Sobolev Type Inequalities (International Mathematical Series , Vol. 8) Springer-Verlag 2009, 281-297
Cocompact imbeddings and structure of weakly convergent sequences, in: Maz'ya, Vladimir; Isakov, Victor (Eds.), Sobolev Spaces in Mathematics, volume 1: Sobolev Type Inequalities (International Mathematical Series , Vol. 8) Springer-Verlag 2009, 361-375
Concentration compactness at the mountain pass level in semilinear elliptic problems, NoDEA Nonlinear Differential Equations Appl. 15 (2008), no. 4-5, 581--598
(with Yehuda Pinchover) On positive solutions of p-Laplacian-type equations, Analysis, Partial Differential Equations and Applications - The Vladimir Maz'ya Anniversary Volume" (Operator Theory: Advances and Applications), Birkäuser Verlag (submitted)
(with Mattias Enstedt) Weighted spectral gap for magnetic Schrödinger operator with a potential term, Potential Analysis (accepted).
(with Everaldo Medeiras and Kanishka Perera) Multiplicity results for problems involving the Hardy-Sobolev operator via Morse theory (submitted).
(with Adimurthi and João Marcos do Ó) Cocompactness and minimizers for inequalities of Hardy-Sobolev type involving N-Laplacian, submitted
(with David Costa and João Marcos do Ó) Semilinear elliptic problems in R^N with supercritical nonlinearities, submitted
(with David Costa and João Marcos do Ó) Schrödinger equations with critical nonlinearity, singular potential and a ground state, submitted
(with Adimurthi) Hardy inequalities for weighted Dirac operator, Annali di Matematica Pura e Applicata, accepted
(with Adimurthi) Cocompactness properties of Moser-Trudinger functional in connection to semilinear biharmonic equations in four dimensions, submitted

Book

(with K.-H. Fieseler) Concentration compactness: functional-analytic grounds and applications, Imperial College Press, 2007

Lecture notes and notforprints